54122145 has 64 divisors (see below), whose sum is σ = 110370816. Its totient is φ = 21991680.

The previous prime is 54122137. The next prime is 54122179.

54122145 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54122145 - 2³ = 54122137 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53787 + ... + 54783.

It is an arithmetic number, because the mean of its divisors is an integer number (1724544).

Almost surely, 2^54122145 is an apocalyptic number.

54122145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54122145 is an abundant number, since it is smaller than the sum of its proper divisors (56248671).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54122145 is a wasteful number, since it uses less digits than its factorization.

54122145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070.

The product of its digits is 1600, while the sum is 24.

The square root of 54122145 is about 7356.7754485236. The cubic root of 54122145 is about 378.2610875050.

It can be divided in two parts, 5412 and 2145, that added together give a palindrome (7557).

The spelling of 54122145 in words is "fifty-four million, one hundred twenty-two thousand, one hundred forty-five".